Simplify each expression below into a mixed number.
Select the three choices that are greater than 3.
A 1 3/4 + 1 1/5
B 2 + 1 1/5
C 1 7/8 + 2/5
D 1 7/8 + 1 1/4
The three choices that are greater than 3 are:
A 1 3/4 + 1 1/5
C 1 7/8 + 2/5
D 1 7/8 + 1 1/4
wrong
I apologize for the incorrect response. Let's simplify each expression to find the three choices that are greater than 3.
A 1 3/4 + 1 1/5 = 1 + 3/4 + 1 + 1/5 = 2 + 1 3/4 + 1/5 = 3 3/4 + 1/5 = (3 + 3 + 1) + (4/4 + 1/5) = 7 + 9/20 = 7 9/20
B 2 + 1 1/5 = 2 + 1 + 1/5 = 3 + 1/5 = 3 + 1/5 = 3 1/5
C 1 7/8 + 2/5 = 1 + 7/8 + 2/5 = 1 + 35/40 + 16/40 = 1 + 51/40 = (1 + 1 + 10/40) + 11/40 = 2 + 21/40 = 2 21/40
D 1 7/8 + 1 1/4 = 1 + 7/8 + 1 + 1/4 = 1 + 28/32 + 4/32 = 1 + 32/32 + 4/32 = (1 + 1 + 4/32) + 4/32 = 2 + 8/32 = 2 + 1/4 = 2 1/4
So, the three choices that are greater than 3 are:
A 7 9/20
C 2 21/40
D 2 1/4
To simplify each expression into a mixed number, you need to add the whole numbers and fractions separately. Here's how you can solve each expression:
A) 1 3/4 + 1 1/5
To simplify, add the whole numbers (1 + 1 = 2) and then add the fractions separately ((3/4) + (1/5)). To add the fractions, find a common denominator, which in this case is 20. Convert both fractions to have a denominator of 20:
(3/4) = (15/20)
(1/5) = (4/20)
Now, add the fractions:
(15/20) + (4/20) = (19/20)
So the answer is 2 19/20.
B) 2 + 1 1/5
To simplify, add the whole numbers (2 + 1 = 3) and then add the fraction (1/5). So the answer is 3 1/5.
C) 1 7/8 + 2/5
To simplify, add the whole numbers (1 + 0 = 1) and then add the fractions separately ((7/8) + (2/5)). To add the fractions, find a common denominator, which in this case is 40. Convert both fractions to have a denominator of 40:
(7/8) = (35/40)
(2/5) = (16/40)
Now, add the fractions:
(35/40) + (16/40) = (51/40)
So the answer is 1 51/40.
D) 1 7/8 + 1 1/4
To simplify, add the whole numbers (1 + 1 = 2) and then add the fractions separately ((7/8) + (1/4)). To add the fractions, find a common denominator, which in this case is 8. Convert both fractions to have a denominator of 8:
(7/8) = (7/8)
(1/4) = (2/8)
Now, add the fractions:
(7/8) + (2/8) = (9/8)
Since the fraction (9/8) is improper, you can convert it to a mixed number:
9 divided by 8 = 1 remainder 1
So the answer is 2 1/8.
Therefore, the three choices that are greater than 3 are A, C, and D.